REMEMBER 5. A school has a goal of raising \( \$ 6,000 \) to buy new sports equipment. Students raise \( \$ 3,535 \) ty having bake sale and \( \$ 2,382 \) by having a car wash. a. Estimate the total amount of money the students have raised by rounding each value to the nearest thousand. b. Estimate the total amount of money the students have raised hy roundingeach value to the nearest hundred. How should the principal round to estimate how much more moncy the school noods to meet its goal? Explain.

a. To estimate the total amount of money the students have raised by rounding each value to the nearest thousand, we need to round the amounts raised by the bake sale and car wash to the nearest thousand. Given: - Bake sale raised: $3,535 - Car wash raised: $2,382 Rounding $3,535 to the nearest thousand gives $4,000. Rounding $2,382 to the nearest thousand gives $2,000. Therefore, the total amount raised by rounding to the nearest thousand is $4,000 + $2,000 = $6,000. b. To estimate the total amount of money the students have raised by rounding each value to the nearest hundred, we need to round the amounts raised by the bake sale and car wash to the nearest hundred. Rounding $3,535 to the nearest hundred gives $3,500. Rounding $2,382 to the nearest hundred gives $2,400. Therefore, the total amount raised by rounding to the nearest hundred is $3,500 + $2,400 = $5,900. The principal should round to the nearest hundred to estimate how much more money the school needs to meet its goal. This is because rounding to the nearest hundred provides a more accurate estimate of the total amount raised by the students.